The phenomenon of wave scattering by random rough surfaces is encountered in many physical settings and techniques. These include radar remote sensing and imaging of planetary surfaces, optical characterization of surfaces and LIDAR, underwater acoustics, radio communications, and seismology, to cite only a few. A typical problem of interest is a coherent wave impinging on a surface with random heterogeneities (e.g., random height variations, supported particles at random positions, etc.). The intensity of the reflected signal generally takes the form of a speckle, showing bright and dark spots due to constructive and destructive interferences between waves coming from different positions of the sample. As might be expected, the statistical properties of the measured signal contain statistical information on the surface topology. Considerable advances have been made in the past decades on establishing this relationship, as discussed in several excellent textbooks [1]}, [2]}, [3]}, [4]}, [5]}.
